Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application-Reference-Cited by-同舟云学术

Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application

Published:2023-09-30 Issue:10 Volume:12 Page:941
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Ahmad Khaleel¹,Murtaza Ghulam¹,Alshaikey Salha²,Ishtiaq Umar³^ORCID,Argyros Ioannis K.⁴

Affiliation:

1. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

2. Saudi Arabia-Alqunfudah Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 21421, Saudi Arabia

3. Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan

4. Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA

Abstract

In this manuscript, we prove several common fixed point theorems for generalized rational-type contraction mappings under several conditions in the context of double-controlled metric spaces. Further, we utilize a double-controlled metric space equipped with a graph to prove rational-type common fixed point theorems. Furthermore, we establish non-trivial examples to show the validity of the main results. These results improve and generalize already known results. At the end, we solve the Fredholm-type integral equation by utilizing the main results.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/10/941/pdf

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